Unit 2: Fraction Equivalence and Comparison

Equivalent Fractions

100

Which is equivalent to 2/3? Explain how you know.

A. 5/6

B. 3/6

C. 4/6

C. 4/6

*Explanations will vary

200

List all fractions equivalent to 4/8. Explain how you know. 

A. 4/7

B. 5/10

C. 2/4

D. 3/6

B. 5/10

C. 2/4

D. 3/6

*They are all equivalent to 1/2

300

Name three fractions equivalent to 5/6. Explain your reasoning. 

*Answers will vary

400

Complete the statement to make it true. 

7/9 = 14/__

7/9 = 14/18

500

Complete the statement to make it true. 

6/5 = ___/35

6/5 = 42/35

Benchmark Fractions

100

Name three fractions greater than 1 whole. 

*Answers will vary. The numerator must be greater than the denominator. 

200

Name three fractions less than 1 half. 

*Answers will vary. The numerator must be less than half of the denominator. 

300

Which fraction is greater than 1/2, but less than 1 whole? 

A. 5/4

B. 5/8

C. 49/100

B. 5/8 is greater than 1/2 but less than 1 whole

400

Place 3/6,  2/7, and 8/9 on a number line, without making equivalent fractions. (think about your benchmark fractions!)

*See number line

500

7/8 of a blueberry pie was eaten. 5/6 of a cherry pie was eaten. Each pie has 1 piece left over. Which piece (blueberry or cherry) is larger? Why?

The cherry pie piece is larger, because sixths are larger than eighths.  

Comparing Fractions

100

Which is greater, 2/7 or 2/12? Why? 

2/7 because sevenths are greater than 12ths

200

Which is greater, 5/3 or 9/3? 

9/3 because we are comparing fractions with the same denominators, we look at how many pieces are there (numerator)

300

Complete the sentence using greater than/less than/ or equal to:      2/3 ___ 10/15

2/3 = 10/15

400

Complete the sentence using greater than/less than/equal to:   1/5 ____ 22/100

1/5 < 22/100

500

Complete the sentence using greater than/less than/equal to:   10/4 ___45/20

10/4 > 45/20

Ordering Fractions

100

List the fractions from least to greatest: 

1/3      5/12     2/10

2/10    1/3    5/12

200

List the fractions from least to greatest: 

5/12    8/6    4/10    7/5

4/10     5/12    8/6    7/5

300

Which is greater, 99/100 or 9/10? Explain how you know 

99/100

400

A water fountain is 7/10 mile from the start of a hiking trail. A pond is 3/5 mile from the start of the trail. A hiker begins walking at the start of the trail. Which will the hiker pass first, the water fountain or the pond? Explain your reasoning.

The pond, because 3/5 is less than 7/10 

500

Find a fraction that is between 2/5 and 3/8. Explain or show your reasoning. 

*See explanation

Factors & Multiples Review

100

List the first 5 multiples of 7

7, 14, 21, 28, 35

200

Which is a multiple of 6? 

A. 3

B. 18

C. 4

B. 18

300

List the first 5 multiples of 17

17, 34, 51, 68, 85

400

List the factor pairs for 24

1 x 24

2 x 12

3 x 8

4 x 6

500

List all the factor pairs for 50

1 x 50

2 x 25

5 x 10